SOLUTION: Please help me with the following: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me with the following: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the      Log On


   

Question 945521: Please help me with the following:
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.


x 0 1 2 3 4 5 6
P (X=x) 0.55 0.15 .10 .10 .04 .03 .03

What is the expected value of X?
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x 0 1 2 3 4 5 6
P(X = x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03

Multiply each x value by its corresponding P(X = x) value

0*0.55 = 0
1*0.15 = 0.15
2*0.10 = 0.20
3*0.10 = 0.30
4*0.04 = 0.16
5*0.03 = 0.15
6*0.03 = 0.18

Now add up the products:
0+0.15+0.20+0.30+0.16+0.15+0.18 = 1.14

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So the expected value is 1.14